Paper Citation Record · LEDGER

Non-repetition of second coefficients of Hecke polynomials

As of 13 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2411.18419.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2411.18419 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:19:17.132505Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

16 of 16 outbound references displayed

verified exact0
verified fuzzy14
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a1deeabd-70d3-4ad6-83d1-fd3e533fa10b · outbound

This paper cites The trace of T2 takes no repeated values.

Non-repetition of second coefficients of Hecke polynomials The trace of T2 takes no repeated values

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:19:17.425178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 66f0cc27-896b-4dab-ae5a-5b1e5d889099 · outbound

This paper cites Nonvanishing of second coefficients of Hecke polynomials.

Non-repetition of second coefficients of Hecke polynomials Nonvanishing of second coefficients of Hecke polynomials

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:19:17.406708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 066943a8-f20b-42aa-a2b8-3bd20128910a · outbound

This paper cites American Mathematical Society, Providence, RI, 2017.

Non-repetition of second coefficients of Hecke polynomials American Mathematical Society, Providence, RI, 2017

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T11:19:17.055488Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f869491a-718c-466e-88d0-6882ca8054f8 · outbound

This paper cites A first course in modular forms , volume 228.

Non-repetition of second coefficients of Hecke polynomials A first course in modular forms , volume 228

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T11:19:17.062217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f6ca23a-dcad-4479-b551-868df692fd66 · outbound

This paper cites Traces of Hecke operators, volume 133 of Mathematical Surveys and Mono- graphs.

Non-repetition of second coefficients of Hecke polynomials Traces of Hecke operators, volume 133 of Mathematical Surveys and Mono- graphs

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:19:17.364917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 68deb95e-e72c-475b-a060-fcd4237ba8d9 · outbound

This paper cites Dimensions of the spaces of cusp forms and newforms on Γ 0(N ) and Γ 1(N ).

Non-repetition of second coefficients of Hecke polynomials Dimensions of the spaces of cusp forms and newforms on Γ 0(N ) and Γ 1(N )

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:19:17.348440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b5af6d6b-526d-4def-a5b6-62bad0f3c75c · outbound

This paper cites The On-Line Encyclopedia of Integer Sequences, 2024.

Non-repetition of second coefficients of Hecke polynomials The On-Line Encyclopedia of Integer Sequences, 2024

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:19:17.331892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6231d36d-883d-4d00-9798-449df1d9896a · outbound

This paper cites Newspaces with nebentypus: An explicit dimension formula and classification of trivial newspaces.

Non-repetition of second coefficients of Hecke polynomials Newspaces with nebentypus: An explicit dimension formula and classification of trivial newspaces

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:19:17.314065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dcb271e4-ec39-4c81-b913-fd026019a9eb · outbound

This paper cites Non-repetition a2 coefficient.

Non-repetition of second coefficients of Hecke polynomials Non-repetition a2 coefficient

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:19:17.295658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fa68cdef-1d36-489d-9065-463f6ce94796 · outbound

This paper cites Signs of the second coefficients of Hecke polynomials.

Non-repetition of second coefficients of Hecke polynomials Signs of the second coefficients of Hecke polynomials

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:19:17.279390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 52714885-b38b-4365-9c83-d71b0c25fdc5 · outbound

This paper cites Asymptotics and sign patterns of Hecke polynomial coefficients.

Non-repetition of second coefficients of Hecke polynomials Asymptotics and sign patterns of Hecke polynomial coefficients

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:19:17.261885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation edceac11-f3a1-4414-852b-ab671aca0f47 · outbound

This paper cites Vanishing and non-vanishing of traces of Hecke operators.

Non-repetition of second coefficients of Hecke polynomials Vanishing and non-vanishing of traces of Hecke operators

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:19:17.244156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7c0d7002-2f6c-483f-8b56-9caf4d10e213 · outbound

This paper cites R´ epartition asymptotique des valeurs propres de l’op´ erateur de Hecke Tp.

Non-repetition of second coefficients of Hecke polynomials R´ epartition asymptotique des valeurs propres de l’op´ erateur de Hecke Tp

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:19:17.227766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ad806187-ac63-4eb8-8a52-5430ff43c3d6 · outbound

This paper cites Distinguishing eigenforms of level one.

Non-repetition of second coefficients of Hecke polynomials Distinguishing eigenforms of level one

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:19:17.210909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3be6b694-4b8b-44e3-bca6-b3d0d8907ec4 · outbound

This paper cites Uniqueness of Fourier coefficients of eigenforms.

Non-repetition of second coefficients of Hecke polynomials Uniqueness of Fourier coefficients of eigenforms

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:19:17.193333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6f24792f-36c7-4156-adc1-d7a84974739c · outbound

This paper cites Traces des op´ erateurs de Hecke.

Non-repetition of second coefficients of Hecke polynomials Traces des op´ erateurs de Hecke

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:19:17.173819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.